The set of all x in −π$$2$$,π$$2$$ satisfying $$4sinx$$−$$1$$<$$5$$ is given by

Correct option is 1−π10,3π10

Questions

The set of all $x$ in $(\frac{- π}{2}, \frac{π}{2})$ satisfying $|4 \sin x - 1| < \sqrt{5}$ is given by

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−π10,3π10

−π10,π5

−π10,3π5

−π5,3π10

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detailed solution

Correct option is A

We have −5<4sinx−1<5⇒−(5−1)4

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The set of all x in −π2,π2 satisfying 4sinx−1<5 is given by

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The set of all $x$ in $(\frac{- π}{2}, \frac{π}{2})$ satisfying $|4 \sin x - 1| < \sqrt{5}$ is given by